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General Relativity for Mathematicians
This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on diff...
General Relativity for Mathematicians
Geared toward mathematically sophisticated readers with a solid background in differential geometry, this text was written by two noted teachers at the University of California, Berkeley. It offers a firm foundation in the principles of general relativity, particularly in terms of singularity theorems and the quantization of gravity. Starting with preliminaries that include notation, physics background, and a preview of relativity, the text advances to spacetimes and observers. A three-part treatment of electromagnetism and matter progresses from basic concepts to interactions and other matter models. Subsequent chapters explore the Einstein field equation, photons, cosmology, and applications. Exercises appear at the end of each section, and the text concludes with optional drills offering further explorations of relativity and Newtonian analogues.
General Relativity for Mathematicians
著者译名:萨克斯。
Spark Arrester Guide
None
Relativity: Modern Large-scale Spacetime Structure Of The Cosmos
This book describes Carmeli's cosmological general and special relativity theory, along with Einstein's general and special relativity. These theories are discussed in the context of Moshe Carmeli's original research, in which velocity is introduced as an additional independent dimension. Four- and five-dimensional spaces are considered, and the five-dimensional braneworld theory is presented. The Tully-Fisher law is obtained directly from the theory, and thus it is found that there is no necessity to assume the existence of dark matter in the halo of galaxies, nor in galaxy clusters.The book gives the derivation of the Lorentz transformation, which is used in both Einstein's special relativ...
Non-Inertial Frames and Dirac Observables in Relativity
Describes global non-inertial frames in special and general relativity and provides a detailed description of mathematical methods.
Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry
In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.
